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4624272 = 2432171889
BaseRepresentation
bin10001101000111110010000
322200221022100
4101220332100
52140434042
6243040400
754206562
oct21507620
98627270
104624272
112679314
121670100
13c5ba73
14885332
1561524c
hex468f90

4624272 has 60 divisors (see below), whose sum is σ = 13710060. Its totient is φ = 1449984.

The previous prime is 4624261. The next prime is 4624313. The reversal of 4624272 is 2724264.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2944656 + 1679616 = 1716^2 + 1296^2 .

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1504 + ... + 3392.

It is an arithmetic number, because the mean of its divisors is an integer number (228501).

Almost surely, 24624272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4624272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855030).

4624272 is an abundant number, since it is smaller than the sum of its proper divisors (9085788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4624272 is a wasteful number, since it uses less digits than its factorization.

4624272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1911 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 4624272 is about 2150.4120535376. The cubic root of 4624272 is about 166.6023502947.

The spelling of 4624272 in words is "four million, six hundred twenty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 1889 2448 3778 5667 7556 11334 15112 17001 22668 30224 32113 34002 45336 64226 68004 90672 96339 128452 136008 192678 256904 272016 289017 385356 513808 578034 770712 1156068 1541424 2312136 4624272